Application of a mixed finite element method for solving 2D nonlinear vorticity equation

A new two-step scheme has been obtained as a result of application of the finite element method (FEM) and the splitting up method to the 2D nonlinear vorticity equation. At the first step, the conforming piecewise-linear finite elements are used; at the second step, non-conforming ones are made use of. The efficiency of the scheme was tested on each splitting step separately as well as on the problem as a whole.